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yulyashka [42]
3 years ago
9

Please someone smart help mehh .^. (Asap)

Mathematics
2 answers:
jarptica [38.1K]3 years ago
8 0
The answer is B. 37/56
Paul [167]3 years ago
7 0
The correct answer is 37/56
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A 10-metre long pipe is cut into 2 pieces. One piece is 5 times the length of the other piece. Find the length of each piece, en
elena55 [62]

9514 1404 393

Answer:

  1.67 m, 8.33 m

Step-by-step explanation:

If the ratio of lengths is 1 : 5, then the ratio of the shortest length to the total is ...

  1 : (1+5) = 1 : 6

The shortest length is (10 m)×(1/6) = 1.67 m. The longer length is 10 -1.67 = 8.33 m.

The lengths of the pieces are 8.33 m and 1.67 m.

6 0
3 years ago
In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S
lys-0071 [83]

Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

8 0
2 years ago
Shaun had a collection of 840 matchbox vehicles. Of these vehicles, 15% are four-wheelers and 30% are convertibles. The rest are
lakkis [162]

Answer:

<h2>462</h2>

Step-by-step explanation:

15% of 840 is 126

30% of 840 is 252

 252

<u>+  126 </u>

<em> 378</em>

<em></em>

840 - 378 = <em>462</em>

or

--------------------------------------------------------------------------------------------------------------

55% of 840 is...

<em>462</em>

--------------------------------------------------------------------------------------------------------------

<em>Hope this helps! <3</em>

5 0
3 years ago
Read 2 more answers
The system of equations
cupoosta [38]

Answer:

z = -12

Step-by-step explanation:

The given system of equations is:

xy/(x + y) = 1 ...........................(1)

xz/(x + z) = 2...........................(2)

yz/(y + z) = 3...........................(3)

From (1): x + y = xy

=> y = xy - x

y = x(y - 1)

x = y/(y - 1).......................................(4)

From (2): 2(x + z) = xz

=> 2x + 2z = xz

2x = xz - 2z

2x = z(x - 2)

z = 2x/(x - 2) ....................................(5)

From (3): 3(y + z) = yz

=> 3y + 3z = yz

3y = yz - 3z

3y = z(y - 3)

z = 3y/(y - 3)....................................(6)

Comparing (5) and (6)

2x/(x - 2) = 3y/(y - 3)

2x(y - 3) = 3y(x - 2)

2xy - 6x = 3xy - 6y

6(y - x) = xy .................................(7)

But from (1): xy = x + y

Using this in (7), we have

6(y - x) = x + y

6y - y - 6x - x = 0

5y - 7x = 0

5y = 7x

x = 5y/7................................................(8)

Using this in (4)

5y/7 = y/(y - 1)

1/(y - 1) = 5/7

(y - 1) = 7/5

y = 1 + 7/5

y = 12/5..........................................(9)

Using this in (8)

x = 5(12/5)/7 = 12/7 .......................(10)

Using (10) in (5)

z = 2x/(x - 2)

z = 2(12/7) ÷ (12/7 - 2)

= 24/7 ÷ -2/7

= 24/7 × (-7/2)

= -24/2 = -12

z = -12.

4 0
3 years ago
How do I solve both questions?
diamong [38]
1. divide 8.75 by 3.5 and divide 9.75 by 3.75
2. do 2.5 ×2 plus 1.25
5 0
3 years ago
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